Abstract

It is generally accepted that neutrinoless double electron capture is a resonance process. The probability for the shake followed by electron-shell ionization occurring in the course of transformation of \({}^{152}\)Gd nuclei is calculated. Among all known nuclei, this nuclide is characterized by the lowest resonance defect and is therefore thought to be one of the main candidates for use in performing searches for the neutrinoless decay mode. As a result, the contribution of the new mechanism turns out to be smaller than that of the traditional resonance mechanism, thereby yielding a correction to the decay probability. Nevertheless, this correction is quite large, amounting to 23\(\%\) in the case of \({}^{152}\)Gd. However, the correction in question grows fast with increasing resonance defect, so that, for other nuclei, we expect it to exceed the resonance-mechanism contribution and to become a dominant mechanism of neutrinoless double electron capture. It therefore appears that by no means does neutrinoless double electron capture proceed as a resonance process.

中文翻译：

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中微子双电子俘获中的非共振振动机理

摘要

人们普遍接受无中子双电子捕获是一个共振过程。计算了在\（{} ^ {152} \） Gd原子核转变过程中发生振动，随后发生电子-壳电离的概率。在所有已知原子核中，该核素的特征是共振缺陷最少，因此被认为是用于进行无中微子衰变模式搜索的主要候选物之一。结果，新机制的贡献被证明小于传统共振机制的贡献，从而产生对衰减概率的校正。但是，此校正量非常大，在\（{} ^ {152} \）的情况下总计为23 \（\％\）d 但是，所讨论的校正随着共振缺陷的增加而快速增长，因此，对于其他原子核，我们希望它能超过共振机制的贡献，并成为无中微子双电子俘获的主要机制。因此，看来中微子双电子捕获绝不会作为共振过程进行。